Design And Implementation Of Numerical Methods For Solving Ordinary Differential Equations (A Case Study Of Mathematics Department, Mouau)
ABSTRACT
The need for this work arises due to the fact
that solutions of Ordinary Differential Equations (ODEs) are not easily
obtainable. There exist an analytical technique for solving Ordinary
Differential Equations but these techniques are only applicable to simple
Ordinary Differential Equation. As a result, there was need to automate the
numerical solutions using Euler's method, Taylor's method and Runge-Kutta
method. In this project, the meaning of differential equation, types, order and
solution of differential equations were fully explained. This project also
features the comparison of methods of solving Ordinary Differential Equation
such as Euler's , Taylor's and Runge-Kutta method along with the development of
a software application that solves ordinary differential equations numerically
using the above listed methods in order to reduce or even totally eradicate the
complexity of numerical solutions.
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AGUGHASI, I (2021). Design And Implementation Of Numerical Methods For Solving Ordinary Differential Equations (A Case Study Of Mathematics Department, Mouau) . Repository.mouau.edu.ng: Retrieved May 19, 2024, from https://repository.mouau.edu.ng/work/view/design-and-implementation-of-numerical-methods-for-solving-ordinary-differential-equations-a-case-study-of-mathematics-department-mouau-7-2
IKECHUKWU, AGUGHASI. "Design And Implementation Of Numerical Methods For Solving Ordinary Differential Equations (A Case Study Of Mathematics Department, Mouau) " Repository.mouau.edu.ng. Repository.mouau.edu.ng, 02 Jul. 2021, https://repository.mouau.edu.ng/work/view/design-and-implementation-of-numerical-methods-for-solving-ordinary-differential-equations-a-case-study-of-mathematics-department-mouau-7-2. Accessed 19 May. 2024.
IKECHUKWU, AGUGHASI. "Design And Implementation Of Numerical Methods For Solving Ordinary Differential Equations (A Case Study Of Mathematics Department, Mouau) ". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 02 Jul. 2021. Web. 19 May. 2024. < https://repository.mouau.edu.ng/work/view/design-and-implementation-of-numerical-methods-for-solving-ordinary-differential-equations-a-case-study-of-mathematics-department-mouau-7-2 >.
IKECHUKWU, AGUGHASI. "Design And Implementation Of Numerical Methods For Solving Ordinary Differential Equations (A Case Study Of Mathematics Department, Mouau) " Repository.mouau.edu.ng (2021). Accessed 19 May. 2024. https://repository.mouau.edu.ng/work/view/design-and-implementation-of-numerical-methods-for-solving-ordinary-differential-equations-a-case-study-of-mathematics-department-mouau-7-2